Answer:
[tex]1.5[/tex]
Step-by-step explanation:
[tex](6 \: \: \: \: \: 4)(4 \: \: \: \: \: 1) \\ m = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - 1}{6 - 2} \\ = \frac{3}{2} \\ = 1.5[/tex]
hope this helps you.
3 x 5(0 + 2) - 4
O Α. Ο
ling
B.
11
O C. 26
O D. 33
Answer:
26 is the answer
Step-by-step explanation:
hope this helps you
An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này
Answer:
Cạnh huyền=13, cgv1=12, cgv2=5
Step-by-step explanation:
Tam giác ABC
Gọi a là cạnh huyền(đối diện điểm A)
b là cgv đối diện điểm B
c là cgv đối diện điểm C
Theo đề bài: a=b+1 hoặc a=c+1
TH1: a=b+1 ta có hệ pt:
a=b+1 (1)
b+c=a+4 (2)
[tex]b^{2} +c^{2} = a^{2}[/tex] (3)
Thế (1) vào (2) ta được: b+c=b+1+4 => c=5
Thế (1) và c=5 vào (3) ta được: [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]
<=> [tex]b^{2} +25=b^{2} +2b+1[/tex]
<=> 2b=24 => b=12
=> a=b+1=12+1=13
TH2: a=c+1 ta có hpt
a=c+1 (4)
b+c=a+4 (5)
[tex]b^{2} +c^{2} = a^{2}[/tex] (6)
Tương tự tính được a=13,b=5,c=12
Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12
How do you find the radius??
Step-by-step explanation:
According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.
Thus far, the radius is equated to half the diameter.
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
Find the length of the side labels x round intermediate values to the nearest tenth
Answer:
x = 35.0
Step-by-step explanation:
the height is 26√3 since the left one is a 30-60-90 triangle
so to find x
cos(39) = x/26√3
or, x = 26√3×cos(39)
or, x = 35.0
Answered by GAUTHMATH
adhiambo buys t litres of milk everyday.A litre of milk is she 25.She spends sh 3000 on milk on November.How many litres does she buy every day?
Given f (x) = -x + 2, find f(0).
Answer:
f(0) =2
Step-by-step explanation:
f (x) = -x + 2
Let x = 0
f(0) = -0+2
f(0) = 2
Answer:
f(0) = 2
Step-by-step explanation:
Substitute x = 0 into f(x)
f(0) = - 0 + 2 = 0 + 2 = 2
A Middle school is taking 932 adults and students on a field trip. Each bus can fit 34 people. How many buses will they need to take everyone on the field trip?
PLS HELP!!!
Answer:
(28 buses) 932 divided 27 remainder of 14 rounding up to 28.
Step-by-step explanation:
The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90
B.) 180
C.) 270
D.) 360
Answer:
A. 90 degrees
Step-by-step explanation:
Look this picture :]
Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his starting point, to 1 decimal place?
Christopher's distance from his starting point is 3.6 km
Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.
His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.
This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.
Since we have both the opposite and adjacent sides of a right-angled triangle,
From trigonometric ratios,
tanФ = opposite/adjacent
tanФ = x/5 km
Now Ф = 036º
So, tan36º = x/5km
x = 5 km(tan36º)
x = 5 km (0.7265)
x = 3.633 km
x ≅ 3.6 km to 1 decimal place.
So, Christopher's distance from his starting point is 3.6 km.
Learn more about bearing here:
https://brainly.com/question/11684993
Is my answer correct?
I'm pretty sure you are :)
If a wheel has a radius of 5cm
1. how much is one rotation of the wheel
2. How many rotations can the wheel do within a distance of 50km
We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.
1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:
[tex]P = 2*3.14*R[/tex]
We know that our wheel has a radius of 5cm, then R = 5cm, we will get:
[tex]P = 2*3.14*5cm =31.4 cm[/tex]
Then one full rotation of the wheel is equal to
2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.
But first we need to have both values in the same unit system.
Knowin that:
1km = 1000m
1km = 100*1000cm = 100,000 cm
Then 50km = 50*(100,000 cm) = 5,000,000 cm
Now we can solve the quotient:
[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]
This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.
If you want to learn more, you can read:
https://brainly.com/question/11137975
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
Solve for 2. Round to the nearest tenth, if necessary.
L
58
M
Answer: 2=
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
x = 46.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 58
58 sin 54 =x
x=46.92298
To the nearest tenth
x = 46.9
128 is the product of hectors score and 8
Fastest answer will be the brainliest
Answer:
The equation would be 8h= 128
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
128=8hWhen you divide both sides by 8, you end up with:
16
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
witch number line represents the solution for the inequality 3x<-9
Answer:
x < -3
Step-by-step explanation:
3x<-9
Divide each side by 3
3x/3 <-9/3
x < -3
Open circle at -3 line going to the left
Answer:
Step-by-step explanation:
3x < -9
Divide both sides by 3
x < - 3
x = {........-5, - 4 ,}
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
The equation of a straight line can be written in the
form 3x + 2y - 8 = 0.
(a) Rearrange this equation to make y the subject.
(b) Write down the gradient of the line.
(c) Write down the coordinates of the point where
the line crosses the y-axis.
(pls give a full working )
Answer:
see explanation
Step-by-step explanation:
Given
(a)
3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )
2y = - 3x + 8 ( divide the terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 4
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{2}[/tex] x + 4 ← is in slope- intercept form
with slope ( gradient) m = - [tex]\frac{3}{2}[/tex] and
(c)
c = 4
That is crosses the y- axis at (0, 4 )
find the values of the sine,cosine and tangent of the following angles.
a.153°
b.204°
c.320°
Answer:
a)sin153°=0.454
cos153°= -0.891
tan153°= -0.510
b)sin 204°= -0.407
cos204°= -0.914
tan204° = 0.445
c)sin320°= -0.643
cos320° = 0.766
tan320°= -0.839
Step-by-step explanation:
Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.
Answer:
Yusuf is 33 and Ajay is 18
Step-by-step explanation:
Let Y and A stand for the ages of Yusuf and Ajay, respectively.
We are told that:
(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]
(A-5)+(Y-5) = 41 [5 years before sum of their ages was 41]
Take the definition of Y in the first equation and use it in the second:
Y = (1/2)A+24 from the first equation
(A-5)+(Y-5) = 41 The second equation
(A-5)+(((1/2)A + 24)-5) = 41 Replace Y with (1/2)A+24
(A-5)+(1/2)A + 24-5 = 41
A-5+(1/2)A + 24-5 = 41
(3/2)A + 14 = 41
(3/2)A = 27
A = (2/3)(27)
A = 18
Ajay is 18 years old
Yusuf is Y=(1/2)(18)+24
Yusuf is 33 years old
====
Check: Is Yusuf 24 years more than half the age of Ajay?
Ajay = 18, so (1/2)18 = 9. Add 24 years to get 33. Yes, this works since Yusuf is 33 years old
Was the sum of their ages = 41 five years ago?
Ajay would have been 13 and Yusuf would have been 28 28+13 = 41 YES
please help me in this questions....
Part (i)
I'm going to use the notation T(n) instead of [tex]T_n[/tex]
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
Answers: -1, -4==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
Answer: 21st term===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
Answer: 8Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12
Answer:
r÷12
Step-by-step explanation:
quotient means division
r÷12
Describe the process of creating a linear equation using two points and the point-slope form
Answer:
First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).
Then substitute the values of the slope (m) and one of the points into the point-slope formula
y - y1 = m(x - x1)
Step-by-step explanation:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Values that are much higher or much lower than others in a data set are _______________.
A. outsiders
B. outfielders
C. errors
D. outliers
Answer:
outliers
explanation:
Answer:
the right answer is
no d (outliers)
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
:)
Answer:
4.75t + 7.50b = 790
b = 2t
Step-by-step explanation:
Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.
4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.
Create an equation that adds these together and sets them equal to 790:
4.75t + 7.50b = 790
Next, create another equation that represents how there were twice as many burritos sold than tacos.
This can be represented by b = 2t.
The system of equations is:
4.75t + 7.50b = 790
b = 2t